Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze209.0ms (0.8%)

Memory

-11.6MiB live, 343.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.4%	74.6%	0%	0%	0%	0
0%	0%	25.4%	74.6%	0%	0%	0%	1
0%	0%	25.4%	74.6%	0%	0%	0%	2
0%	0%	25.4%	74.6%	0%	0%	0%	3
0%	0%	22.2%	74.6%	0%	3.2%	0%	4
0%	0%	20.6%	74.6%	0%	4.8%	0%	5
0%	0%	18.3%	74.6%	0%	7.1%	0%	6
0%	0%	10.7%	74.6%	0%	14.7%	0%	7
0%	0%	9.3%	74.6%	0%	16.1%	0%	8
0%	0%	8.2%	74.6%	0%	17.2%	0%	9
0%	0%	5.7%	74.6%	0%	19.7%	0%	10
0%	0%	5%	74.6%	0%	20.4%	0%	11
0%	0%	4.4%	74.6%	0%	21%	0%	12

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample19.7s (79.7%)

Memory

126.6MiB live, 20 137.7MiB allocated

Samples

13.6s	63 026×	0	invalid
1.9s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 12.0s

ival-mult: 3.9s (32.8% of total)

const: 2.0s (16.5% of total)

ival-expm1: 1.8s (15% of total)

ival-fabs: 1.0s (8.7% of total)

ival-<=: 1.0s (8.6% of total)

ival-div: 913.0ms (7.6% of total)

ival-add: 537.0ms (4.5% of total)

ival-fmin: 468.0ms (3.9% of total)

ival-and: 206.0ms (1.7% of total)

exact: 48.0ms (0.4% of total)

ival-assert: 26.0ms (0.2% of total)

Bogosity

explain283.0ms (1.1%)

Memory

9.6MiB live, 389.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
238	-	1	(0.14145420465464711 9.794519055349465e-102 1.2433820953087675e-107)	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
135	-	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
97	-	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
93	-	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
0	-	0	-	`(+.f64 a b)`
0	-	0	-	`(*.f64 b eps)`
0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 a eps)`
0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	-	0	-	`eps`
0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	216	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	216
↳	`(*.f64 (+.f64 a b) eps)`	underflow	121
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	121
↳	`(*.f64 b eps)`	underflow	159
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	163
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	159
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	237
↳	`(*.f64 a eps)`	underflow	163
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	135	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	97	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	93	0
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	n/u	21	0
↳	`(*.f64 b eps)`	underflow	159
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	163
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	159
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	237
↳	`(*.f64 a eps)`	underflow	163

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	121
3	99
4	36

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

111.0ms

512×

valid

Compiler

Compiled 229 to 55 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-add: 46.0ms (53.5% of total)

ival-mult: 18.0ms (20.9% of total)

ival-exp: 11.0ms (12.8% of total)

ival-expm1: 8.0ms (9.3% of total)

ival-div: 3.0ms (3.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess179.0ms (0.7%)

Memory

9.7MiB live, 199.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 832×	`lower-fma.f64`
4 832×	`lower-fma.f32`
2 736×	`lower-*.f32`
2 726×	`lower-*.f64`
1 330×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	233
1	250	229
2	708	227
3	2151	224
4	7041	224
0	17	24
0	30	24
1	56	24
2	109	24
3	176	24
4	327	24
5	655	24
6	1264	24
7	3455	24
8	6175	24
9	7511	24
10	7817	24
11	7898	24
12	7928	24
0	8057	18

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Outputs

(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

(*.f64 (/.f64 eps (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (expm1.f64 (*.f64 (+.f64 b a) eps)))

Symmetry

(sort a b)

Compiler

Compiled 27 to 17 computations (37% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune5.0ms (0%)

Memory

-40.9MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.0%	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

0.0%

(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Compiler

Compiled 27 to 17 computations (37% saved)

simplify165.0ms (0.7%)

Memory

9.5MiB live, 177.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
cost-diff	192	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
cost-diff	192	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
cost-diff	192	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))

Rules

4 832×	`lower-fma.f64`
4 832×	`lower-fma.f32`
2 736×	`lower-*.f32`
2 726×	`lower-*.f64`
1 132×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
0	30	99
1	56	99
2	109	99
3	176	99
4	327	99
5	655	99
6	1264	99
7	3455	99
8	6175	99
9	7511	99
10	7817	99
11	7898	99
12	7928	99
0	8057	81

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
eps
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 (+.f64 a b) eps))
(*.f64 (+.f64 a b) eps)
(+.f64 a b)
a
b
#s(literal 1 binary64)
(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 a eps))
(*.f64 a eps)
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 b eps))
(*.f64 b eps)

Outputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))) (expm1.f64 (*.f64 (+.f64 b a) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
(.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps)
eps
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(expm1.f64 (*.f64 (+.f64 b a) eps))
(exp.f64 (*.f64 (+.f64 a b) eps))
(exp.f64 (*.f64 (+.f64 b a) eps))
(*.f64 (+.f64 a b) eps)
(*.f64 (+.f64 b a) eps)
(+.f64 a b)
(+.f64 b a)
a
b
#s(literal 1 binary64)
(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a eps))
(exp.f64 (*.f64 a eps))
(*.f64 a eps)
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
(expm1.f64 (*.f64 b eps))
(exp.f64 (*.f64 b eps))
(*.f64 b eps)

localize44.0ms (0.2%)

Memory

19.5MiB live, 94.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	20.899616406388795	(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
accuracy	21.62442797648888	(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
accuracy	30.090011849364892	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
accuracy	57.23293587515545	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Samples

33.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 10.0ms (43.6% of total)

ival-exp: 5.0ms (21.8% of total)

ival-expm1: 5.0ms (21.8% of total)

ival-div: 2.0ms (8.7% of total)

ival-add: 1.0ms (4.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series69.0ms (0.3%)

Memory

-23.1MiB live, 54.1MiB allocated

Counts

4 → 120

Calls

Call 1

Inputs
#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (patch (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (- (exp (* a eps)) 1) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b eps) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ eps (* 1/2 (* b (pow eps 2))))) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2)))))) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3)))))))) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (patch (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (patch (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (patch (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (- (exp (* eps (- b (* -1 a)))) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* eps (- b (* -1 a)))) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a eps)) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a eps)) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a eps)) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a eps)) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf a) (#s(alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (patch (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf a) (#s(alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (patch (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf a) (#s(alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (patch (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf a) (#s(alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (patch (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
3.0ms	eps	@	inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	b	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	b	@	0	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))
2.0ms	eps	@	-inf	((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))

simplify212.0ms (0.9%)

Memory

32.5MiB live, 225.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 330×	`lower-fma.f64`
9 330×	`lower-fma.f32`
7 346×	`lower-*.f64`
7 346×	`lower-*.f32`
4 214×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	2612
1	1079	2564
2	3409	2564
0	8490	2144

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(- (exp (* a eps)) 1)
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)
(* b eps)
(* b (+ eps (* 1/2 (* b (pow eps 2)))))
(* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2))))))
(* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3))))))))
(/ 1 b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(- (exp (* eps (- a (* -1 b)))) 1)
(- (exp (* eps (- a (* -1 b)))) 1)
(- (exp (* eps (- a (* -1 b)))) 1)
(- (exp (* eps (- a (* -1 b)))) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* eps (+ a b))
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(* a eps)
(* eps (+ a (* 1/2 (* (pow a 2) eps))))
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))
(* b eps)
(* eps (+ b (* 1/2 (* (pow b 2) eps))))
(* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2))))))
(* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3))))))))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(- (exp (* b eps)) 1)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(- (exp (* b eps)) 1)
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)
(* a eps)
(* a (+ eps (* 1/2 (* a (pow eps 2)))))
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(- (exp (* eps (- b (* -1 a)))) 1)
(- (exp (* eps (- b (* -1 a)))) 1)
(- (exp (* eps (- b (* -1 a)))) 1)
(- (exp (* eps (- b (* -1 a)))) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

Outputs
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)
(fma.f64 (fma.f64 b eps #s(literal 1 binary64)) (exp.f64 (*.f64 eps a)) #s(literal -1 binary64))
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)
(-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (.f64 (.f64 b eps) eps) (exp.f64 (.f64 eps a))) (.f64 (fma.f64 b eps #s(literal 1 binary64)) (exp.f64 (*.f64 eps a)))) #s(literal 1 binary64))
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)
(-.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 #s(literal 1/6 binary64) b) (.f64 (.f64 (.f64 eps eps) eps) (exp.f64 (.f64 eps a))) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (exp.f64 (.f64 eps a)))) (.f64 (fma.f64 b eps #s(literal 1 binary64)) (exp.f64 (.f64 eps a)))) #s(literal 1 binary64))
(* b eps)
(*.f64 b eps)
(* b (+ eps (* 1/2 (* b (pow eps 2)))))
(.f64 (fma.f64 (.f64 (*.f64 b b) eps) #s(literal 1/2 binary64) b) eps)
(* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 b eps) eps) eps) #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/2 binary64))) b eps) b)
(* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) b) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/6 binary64))) b (.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) b eps) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (exp.f64 (.f64 eps a)) (/.f64 (.f64 eps eps) (expm1.f64 (.f64 eps a)))) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) b (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))) #s(literal 1/2 binary64)))) b #s(literal 1 binary64)) b)
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(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 eps a))))
(- (exp (* b eps)) 1)
(expm1.f64 (*.f64 b eps))
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(fma.f64 (fma.f64 eps a #s(literal 1 binary64)) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)
(-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 (.f64 eps eps) a) (exp.f64 (.f64 b eps))) (.f64 (fma.f64 eps a #s(literal 1 binary64)) (exp.f64 (*.f64 b eps)))) #s(literal 1 binary64))
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)
(-.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (exp.f64 (.f64 b eps)) (.f64 (.f64 eps eps) eps)) (.f64 (exp.f64 (.f64 b eps)) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))) (.f64 a a) (.f64 (fma.f64 eps a #s(literal 1 binary64)) (exp.f64 (.f64 b eps)))) #s(literal 1 binary64))
(* a eps)
(*.f64 eps a)
(* a (+ eps (* 1/2 (* a (pow eps 2)))))
(.f64 (fma.f64 (.f64 (*.f64 a a) eps) #s(literal 1/2 binary64) a) eps)
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) a) eps) #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/2 binary64))) a eps) a)
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/6 binary64))) a (.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) a eps) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (exp.f64 (.f64 b eps)) (/.f64 (.f64 eps eps) (expm1.f64 (.f64 b eps)))) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) a (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (exp.f64 (.f64 b eps)) (/.f64 (.f64 (.f64 eps eps) eps) (expm1.f64 (.f64 b eps)))) #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 eps eps) eps))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64)))) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 (exp.f64 (.f64 b eps)) (/.f64 (.f64 eps eps) (expm1.f64 (.f64 b eps)))) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) a (fma.f64 (.f64 (exp.f64 (.f64 b eps)) (/.f64 (.f64 eps eps) (expm1.f64 (.f64 b eps)))) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) a (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a)
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 eps a))))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(- (exp (* eps (- b (* -1 a)))) 1)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 eps a))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 eps a))))

rewrite254.0ms (1%)

Memory

-20.0MiB live, 211.0MiB allocated

Rules

5 838×	`lower-*.f32`
5 828×	`lower-*.f64`
4 440×	`lower-/.f32`
4 438×	`lower-/.f64`
3 902×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
0	30	44
1	108	44
2	766	44
0	8486	32

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 364

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Outputs
(.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (.f64 (+.f64 b a) (*.f64 eps #s(literal 1/2 binary64)))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64)) (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64))) (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) #s(literal 1 binary64)))
(.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) (+.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 eps (+.f64 b a))) #s(literal -1 binary64)))))
(.f64 (neg.f64 (expm1.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (*.f64 eps (+.f64 b a)))) #s(literal 1 binary64)))))
(.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64)) (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 eps (+.f64 b a))) #s(literal -1 binary64)))))
(.f64 (expm1.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 eps (+.f64 b a))) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) #s(literal 1 binary64)) (.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64)))))
(.f64 (expm1.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (*.f64 eps (+.f64 b a)))) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (+.f64 b a))))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 b a)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64))) (/.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64))))) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 eps (+.f64 b a))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64))) (/.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 eps (+.f64 b a))) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (*.f64 eps (+.f64 b a)))) #s(literal 1 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (.f64 #s(literal -1 binary64) (exp.f64 (*.f64 eps (+.f64 b a)))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) (+.f64 eps eps))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 b a))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64)))))
(/.f64 (.f64 (expm1.f64 (fma.f64 (+.f64 b a) (+.f64 eps eps) (.f64 (+.f64 b a) (+.f64 eps eps)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 eps (+.f64 b a))) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (+.f64 b a) (+.f64 eps eps)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (fma.f64 (+.f64 b a) (+.f64 eps eps) (.f64 (+.f64 b a) (+.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))))) (-.f64 (exp.f64 (*.f64 eps (+.f64 b a))) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (+.f64 b a) (+.f64 eps eps)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (.f64 eps (+.f64 b a)))) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (.f64 (+.f64 b a) (+.f64 eps eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 eps (+.f64 b a)) #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps))) (exp.f64 (*.f64 eps (+.f64 b a)))) #s(literal 1 binary64))))
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(/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (expm1.f64 (.f64 eps b))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 eps a)) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps) (expm1.f64 (.f64 eps b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 eps b)) (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps)) (expm1.f64 (*.f64 eps b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))) (.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps)))
(/.f64 eps (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 b a)))))
(neg.f64 (/.f64 (/.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 eps (+.f64 b a)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))) (.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps))))
(neg.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (neg.f64 (expm1.f64 (.f64 eps b)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 eps (+.f64 b a)))) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))))))
(neg.f64 (/.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 eps (+.f64 b a)))) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))))
(fma.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 b (+.f64 eps eps)))) (exp.f64 (.f64 eps b)) (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 b (+.f64 eps eps)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 b (+.f64 eps eps)))) #s(literal 1 binary64) (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 b (+.f64 eps eps)))) (exp.f64 (.f64 eps b))))
(fma.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (exp.f64 (*.f64 eps b))))
(fma.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 eps b)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (exp.f64 (*.f64 b (+.f64 eps eps)))))
(fma.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (exp.f64 (.f64 b (+.f64 eps eps))) (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (-.f64 (exp.f64 (*.f64 eps b)) #s(literal -1 binary64))))
(fma.f64 (.f64 (exp.f64 (.f64 eps (+.f64 b a))) eps) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a)))) (.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))))
(fma.f64 (.f64 eps (exp.f64 (.f64 eps (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a)))) (.f64 (.f64 eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))))))
(fma.f64 (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) #s(literal 1 binary64)) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (.f64 (exp.f64 (.f64 eps b)) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (*.f64 eps b) #s(literal 3 binary64))))))
(fma.f64 (-.f64 (exp.f64 (.f64 eps b)) #s(literal -1 binary64)) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (*.f64 eps b) #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a)))) (.f64 (exp.f64 (.f64 eps (+.f64 b a))) eps) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))) (neg.f64 eps)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a)))) (.f64 eps (exp.f64 (.f64 eps (+.f64 b a)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a)))) (.f64 eps #s(literal -1 binary64))))
(fma.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (.f64 (-.f64 (exp.f64 (.f64 eps b)) #s(literal -1 binary64)) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (*.f64 eps b) #s(literal 3 binary64))))))
(fma.f64 (exp.f64 (.f64 eps b)) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 b (+.f64 eps eps)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 b (+.f64 eps eps))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 b (+.f64 eps eps)))) (.f64 (exp.f64 (.f64 eps b)) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 b (+.f64 eps eps))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))) (/.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 eps (+.f64 b a)))) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a)))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 eps (+.f64 b a)))) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))))
(+.f64 (.f64 (exp.f64 (.f64 eps b)) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 b (+.f64 eps eps))))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (*.f64 b (+.f64 eps eps))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 b (+.f64 eps eps))))) (.f64 (exp.f64 (.f64 eps b)) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (*.f64 b (+.f64 eps eps))))))
(+.f64 (.f64 (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) #s(literal 1 binary64)) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64))))) (.f64 (exp.f64 (.f64 eps b)) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64))))))
(+.f64 (.f64 (-.f64 (exp.f64 (.f64 eps b)) #s(literal -1 binary64)) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64))))) (.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64))))))
(+.f64 (.f64 (exp.f64 (.f64 b (+.f64 eps eps))) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64))))) (.f64 (-.f64 (exp.f64 (.f64 eps b)) #s(literal -1 binary64)) (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (exp.f64 (.f64 eps (+.f64 b a))) eps) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))))) (.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))))))
(+.f64 (.f64 (.f64 eps (exp.f64 (.f64 eps (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))))) (.f64 (.f64 eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))))
(+.f64 (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 b (+.f64 eps eps)))) (exp.f64 (.f64 eps b))) (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (*.f64 b (+.f64 eps eps)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 b (+.f64 eps eps)))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 b (+.f64 eps eps)))) (exp.f64 (*.f64 eps b))))
(+.f64 (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 b (+.f64 eps eps))) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (exp.f64 (.f64 eps b))))
(+.f64 (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 eps b)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (exp.f64 (.f64 b (+.f64 eps eps)))))
(+.f64 (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (exp.f64 (.f64 b (+.f64 eps eps)))) (.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 (.f64 eps b) #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 eps b)) #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a)))) (.f64 (exp.f64 (.f64 eps (+.f64 b a))) eps)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a)))) (neg.f64 eps)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a)))) (.f64 eps (exp.f64 (.f64 eps (+.f64 b a))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a)))) (*.f64 eps #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))) (.f64 (expm1.f64 (.f64 eps (+.f64 b a))) eps))) #s(literal -1 binary64)))

eval105.0ms (0.4%)

Memory: -2.7MiB live, 59.6MiB allocated
Compiler: Compiled 17 466 to 1 562 computations (91.1% saved)

prune143.0ms (0.6%)

Memory

8.9MiB live, 84.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	480	4	484
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	481	4	485

Accuracy

97.7%

Counts

485 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
▶	58.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	50.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	48.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 75 to 37 computations (50.7% saved)

simplify375.0ms (1.5%)

Memory

-16.6MiB live, 68.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	192	(fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
cost-diff	512	(fma.f64 (.f64 b a) b (.f64 (*.f64 b a) a))
cost-diff	1280	(/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 b a) a) b))
cost-diff	4160	(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
cost-diff	0	(*.f64 b a)
cost-diff	0	(+.f64 b a)
cost-diff	0	(/.f64 (+.f64 b a) (*.f64 b a))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
cost-diff	0	(/.f64 #s(literal 1 binary64) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Rules

10 618×	`lower-fma.f32`
10 616×	`lower-fma.f64`
3 972×	`lower-*.f32`
3 960×	`lower-*.f64`
3 298×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	371
0	58	353
1	134	344
2	407	312
3	2042	306
4	5062	278
5	6121	242
6	6809	240
7	7649	240
0	8013	216

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(+.f64 b a)
b
a
(*.f64 b a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
(/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 b a) a) b))
(.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64))
(fma.f64 (.f64 b a) b (.f64 (*.f64 b a) a))
(*.f64 b a)
b
a
(.f64 (.f64 b a) a)
#s(literal -1/2 binary64)
(.f64 (.f64 (*.f64 b a) a) b)
(+.f64 b a)
(.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (+.f64 b a) (+.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
#s(literal 1/2 binary64)
eps
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(+.f64 b a)
b
a
(*.f64 b a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
#s(literal 0 binary64)
(/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 b a) a) b))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b a)) (+.f64 b a))
(.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64))
(.f64 (.f64 b #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) a))
(fma.f64 (.f64 b a) b (.f64 (*.f64 b a) a))
(.f64 (.f64 (+.f64 b a) a) b)
(*.f64 b a)
b
a
(.f64 (.f64 b a) a)
#s(literal -1/2 binary64)
(.f64 (.f64 (*.f64 b a) a) b)
(+.f64 b a)
(.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (*.f64 (+.f64 b a) (+.f64 b a)))
(*.f64 (+.f64 b a) (+.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
#s(literal 1/2 binary64)
eps
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)

localize586.0ms (2.4%)

Memory

5.3MiB live, 233.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.140625	(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
accuracy	29.594273920900346	(.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
accuracy	53.637455328450784	(/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 b a) a) b))
accuracy	62.33661102654286	(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
accuracy	0	(+.f64 b a)
accuracy	0	(*.f64 b a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
accuracy	26.288460419129105	(/.f64 (+.f64 b a) (*.f64 b a))
accuracy	0	(/.f64 #s(literal 1 binary64) b)
accuracy	31.775704133941474	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
accuracy	0	(/.f64 #s(literal 1 binary64) a)
accuracy	33.03337129684759	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Samples

468.0ms

256×

valid

Compiler

Compiled 318 to 37 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 374.0ms

ival-add: 184.0ms (49.2% of total)

ival-mult: 132.0ms (35.3% of total)

adjust: 27.0ms (7.2% of total)

ival-div: 22.0ms (5.9% of total)

ival-expm1: 8.0ms (2.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series210.0ms (0.9%)

Memory

-2.5MiB live, 160.2MiB allocated

Counts

14 → 360

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) b) (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (.f64 b a))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 b a) (.f64 b a)) (patch (/.f64 (+.f64 b a) (.f64 b a)) #<representation binary64>) () ())
#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())
#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) (patch (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (patch (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) (patch (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (patch (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) b) (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) b) (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) b) (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) b) (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (.f64 b a))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (.f64 b a))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (.f64 b a))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (.f64 b a))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 (+.f64 b a) (.f64 b a)) (patch (/.f64 (+.f64 b a) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (/.f64 (+.f64 b a) (.f64 b a)) (patch (/.f64 (+.f64 b a) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (/.f64 (+.f64 b a) (.f64 b a)) (patch (/.f64 (+.f64 b a) (.f64 b a)) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) (patch (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (/ (pow b 2) a))) (taylor -inf a) (#s(alt (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) (patch (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (/ (pow b 2) a))) (taylor -inf a) (#s(alt (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) (patch (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (/ (pow b 2) a))) (taylor -inf a) (#s(alt (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) (patch (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* eps (+ (* -1/2 b) (* 1/2 b))) 1) a)) (/ 1 b)) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* eps (+ (* -1/2 b) (* 1/2 b))) 1) a)) (/ 1 b)) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* eps (+ (* -1/2 b) (* 1/2 b))) 1) a)) (/ 1 b)) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ a b)) (taylor -inf a) (#s(alt (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (patch (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ 1 a) (* 1/2 (/ 1 b)))) (taylor -inf a) (#s(alt (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (patch (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))))) (taylor -inf a) (#s(alt (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (patch (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))))) (taylor -inf a) (#s(alt (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (patch (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
94.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ b a)) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a)))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ (* (* b a) b) (* (* b a) a)) (+ (* (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ b a)) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a)))) eps) (+ (/ 1 a) (/ 1 b))) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a))) (/ 1/2 (* b a)))
34.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ b a)) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a)))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ (* (* b a) b) (* (* b a) a)) (+ (* (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ b a)) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a)))) eps) (+ (/ 1 a) (/ 1 b))) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a))) (/ 1/2 (* b a)))
24.0ms	eps	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ b a)) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a)))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ (* (* b a) b) (* (* b a) a)) (+ (* (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ b a)) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a)))) eps) (+ (/ 1 a) (/ 1 b))) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a))) (/ 1/2 (* b a)))
9.0ms	eps	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ b a)) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a)))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ (* (* b a) b) (* (* b a) a)) (+ (* (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ b a)) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a)))) eps) (+ (/ 1 a) (/ 1 b))) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a))) (/ 1/2 (* b a)))
8.0ms	b	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ b a)) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a)))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ (* (* b a) b) (* (* b a) a)) (+ (* (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* (* (* b a) a) b)) (+ b a)) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a)))) eps) (+ (/ 1 a) (/ 1 b))) (* (* (+ b a) (+ b a)) (/ 1/2 (* b a))) (/ 1/2 (* b a)))

simplify263.0ms (1.1%)

Memory

28.9MiB live, 311.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 294×	`lower-fma.f64`
9 294×	`lower-fma.f32`
5 738×	`lower-*.f64`
5 738×	`lower-*.f32`
4 814×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	7159
1	997	6779
2	3204	6588
0	8364	5811

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 354

Calls

Call 1

Inputs
(/ 1 b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ 1 b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
a
(+ a b)
(+ a b)
(+ a b)
(* a b)
(* a b)
(* a b)
(* a b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ -1/2 b)
(/ (- (* -1/2 (/ b a)) 1/2) b)
(/ (- (* -1/2 (/ b a)) 1/2) b)
(/ (- (* -1/2 (/ b a)) 1/2) b)
(* (pow a 2) b)
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(/ (+ 1 (* eps (+ (* -1/2 a) (* 1/2 a)))) b)
(/ (+ 1 (+ (* eps (+ (* -1/2 a) (* 1/2 a))) (/ b a))) b)
(/ (+ 1 (+ (* eps (+ (* -1/2 a) (* 1/2 a))) (/ b a))) b)
(/ (+ 1 (+ (* eps (+ (* -1/2 a) (* 1/2 a))) (/ b a))) b)
(* 1/2 (/ a b))
(/ (+ b (* 1/2 a)) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* a b)
(* a b)
(* a b)
(* a b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
(/ -1/2 a)
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(/ 1 a)
(+ (/ 1 a) (+ (/ 1 b) (/ (* eps (+ (* -1/2 a) (* 1/2 a))) b)))
(+ (/ 1 a) (+ (/ 1 b) (/ (* eps (+ (* -1/2 a) (* 1/2 a))) b)))
(+ (/ 1 a) (+ (/ 1 b) (/ (* eps (+ (* -1/2 a) (* 1/2 a))) b)))
(* 1/2 (/ b a))
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* a b)
(* a b)
(* a b)
(* a b)
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b
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a
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(/ 1/2 (* a b))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* a b)
(* a b)
(* a b)
(* a b)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
(/ -1/2 b)
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(/ 1 b)
(+ (* -1 (/ (- (* eps (+ (* -1/2 b) (* 1/2 b))) 1) a)) (/ 1 b))
(+ (* -1 (/ (- (* eps (+ (* -1/2 b) (* 1/2 b))) 1) a)) (/ 1 b))
(+ (* -1 (/ (- (* eps (+ (* -1/2 b) (* 1/2 b))) 1) a)) (/ 1 b))
(* 1/2 (/ a b))
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))

Outputs
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))))) b #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))))) b (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))) b #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))))) eps) #s(literal 1/2 binary64))))) b (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))))) b (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))) b #s(literal 1 binary64)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))))) b #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))))) b (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))) b #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))))) eps) #s(literal 1/2 binary64))))) b (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))))) b (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))) b #s(literal 1 binary64)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))))) b #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))))) b (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))) b #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))))) eps) #s(literal 1/2 binary64))))) b (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))))) b (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))) b #s(literal 1 binary64)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
a
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ -1/2 b)
(/.f64 #s(literal -1/2 binary64) b)
(/ (- (* -1/2 (/ b a)) 1/2) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) b)
(/ (- (* -1/2 (/ b a)) 1/2) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) b)
(/ (- (* -1/2 (/ b a)) 1/2) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) b)
(* (pow a 2) b)
(.f64 (.f64 a a) b)
(* b (+ (* a b) (pow a 2)))
(.f64 (.f64 a (+.f64 a b)) b)
(* b (+ (* a b) (pow a 2)))
(.f64 (.f64 a (+.f64 a b)) b)
(* b (+ (* a b) (pow a 2)))
(.f64 (.f64 a (+.f64 a b)) b)
(/ (+ 1 (* eps (+ (* -1/2 a) (* 1/2 a)))) b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (+ (* eps (+ (* -1/2 a) (* 1/2 a))) (/ b a))) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (+ 1 (+ (* eps (+ (* -1/2 a) (* 1/2 a))) (/ b a))) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (+ 1 (+ (* eps (+ (* -1/2 a) (* 1/2 a))) (/ b a))) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(* 1/2 (/ a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(/ (+ b (* 1/2 a)) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) a b) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(/.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 b a) a))) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(/.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 b a) a))) b)
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
b
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ (+ (* -1/2 a) (* 1/2 a)) b)
#s(literal 0 binary64)
(/ -1/2 a)
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(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
a
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ -1/2 b)
(/.f64 #s(literal -1/2 binary64) b)
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(-.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(-.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(-.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(* (pow a 2) b)
(.f64 (.f64 a a) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 (.f64 (fma.f64 b (/.f64 b a) b) a) a)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 (.f64 (fma.f64 b (/.f64 b a) b) a) a)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 (.f64 (fma.f64 b (/.f64 b a) b) a) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (+ (/ 1 b) (/ (* eps (+ (* -1/2 b) (* 1/2 b))) a)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+ (/ 1 a) (+ (/ 1 b) (/ (* eps (+ (* -1/2 b) (* 1/2 b))) a)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+ (/ 1 a) (+ (/ 1 b) (/ (* eps (+ (* -1/2 b) (* 1/2 b))) a)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(* 1/2 (/ a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) a #s(literal 1 binary64))
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(fma.f64 (fma.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) a #s(literal 1 binary64))
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(fma.f64 (fma.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) a #s(literal 1 binary64))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a eps))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(fma.f64 (/.f64 b a) a a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(fma.f64 (/.f64 b a) a a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(fma.f64 (/.f64 b a) a a)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a))
#s(literal 0 binary64)
(/ -1/2 b)
(/.f64 #s(literal -1/2 binary64) b)
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(-.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(-.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(* -1 (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))
(-.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(* (pow a 2) b)
(.f64 (.f64 a a) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 (.f64 (fma.f64 b (/.f64 b a) b) a) a)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 (.f64 (fma.f64 b (/.f64 b a) b) a) a)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 (.f64 (fma.f64 b (/.f64 b a) b) a) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1 (/ (- (* eps (+ (* -1/2 b) (* 1/2 b))) 1) a)) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+ (* -1 (/ (- (* eps (+ (* -1/2 b) (* 1/2 b))) 1) a)) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+ (* -1 (/ (- (* eps (+ (* -1/2 b) (* 1/2 b))) 1) a)) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(* 1/2 (/ a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) a #s(literal 1 binary64))
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))

rewrite192.0ms (0.8%)

Memory

-6.6MiB live, 384.6MiB allocated

Rules

4 874×	`lower-/.f32`
4 864×	`lower-/.f64`
4 606×	`lower-fma.f32`
4 600×	`lower-fma.f64`
4 010×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	238
0	57	220
1	277	212
2	2871	212
0	9541	192

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

14 → 480

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(+.f64 b a)
(*.f64 b a)
(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
(/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 b a) a) b))
(fma.f64 (.f64 b a) b (.f64 (*.f64 b a) a))
(fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64))
(pow.f64 (*.f64 a a) #s(literal -1/2 binary64))
(pow.f64 a #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) a)
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(exp.f64 (neg.f64 (log.f64 a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(pow.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal -1 binary64))
(pow.f64 (*.f64 b b) #s(literal -1/2 binary64))
(pow.f64 b #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b)))
(/.f64 #s(literal 1 binary64) b)
(neg.f64 (/.f64 #s(literal -1 binary64) b))
(exp.f64 (neg.f64 (log.f64 b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
(.f64 (pow.f64 (/.f64 (.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(.f64 (pow.f64 (/.f64 (.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(.f64 (pow.f64 (/.f64 (.f64 b a) (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (-.f64 a b)))))
(.f64 (pow.f64 (/.f64 (.f64 b a) (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a))))
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 #s(literal 1 binary64) a))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 b a))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 a a)))))
(.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 b) a)))
(.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 a (+.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 b a) b))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (.f64 b a)))
(pow.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 a (/.f64 (+.f64 b a) b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b (/.f64 a (+.f64 b a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 b (/.f64 a (+.f64 b a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (/.f64 #s(literal 1 binary64) (.f64 b a)))) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (/.f64 #s(literal 1 binary64) (.f64 b a)))) (neg.f64 (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (neg.f64 (/.f64 (+.f64 b a) a)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b))))) (neg.f64 (neg.f64 (/.f64 (-.f64 b a) (*.f64 b a)))))
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(fma.f64 eps (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) (/.f64 (+.f64 b a) (*.f64 b a)))
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps (/.f64 #s(literal 1 binary64) a)) (fma.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps (/.f64 #s(literal 1 binary64) a))) (-.f64 (fma.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (-.f64 (fma.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 (.f64 (.f64 b a) a) b)) (-.f64 (/.f64 (+.f64 b a) (.f64 b a)) (.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps))) (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps) (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a))))) eps) (-.f64 (/.f64 (+.f64 b a) (.f64 b a)) (.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)))) eps))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps) (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a))))) eps) (fma.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps (neg.f64 (/.f64 (+.f64 b a) (.f64 b a))))) (/.f64 (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 (.f64 (.f64 b a) a) b)) (fma.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps (neg.f64 (/.f64 (+.f64 b a) (*.f64 b a))))))
(+.f64 (fma.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (fma.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))
(+.f64 (.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps) (/.f64 (+.f64 b a) (.f64 b a)))
(+.f64 (/.f64 (+.f64 b a) (.f64 b a)) (.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps))
(+.f64 (/.f64 #s(literal 1 binary64) b) (fma.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) eps (/.f64 #s(literal 1 binary64) a)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 (.f64 (+.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b a) a) b)) (.f64 (.f64 b a) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)))) eps)))
(.f64 (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) b) (/.f64 #s(literal 1/2 binary64) a))
(.f64 (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)) (+.f64 b a))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (*.f64 (+.f64 b a) (+.f64 b a)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (.f64 (+.f64 b a) (+.f64 b a))))
(.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(.f64 (+.f64 b a) (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)))
(pow.f64 (/.f64 (.f64 b a) (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (+.f64 b a)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (+.f64 b a) b) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (+.f64 b a) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (+.f64 b a) b) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (.f64 (.f64 (+.f64 b a) b) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (-.f64 (.f64 (.f64 (.f64 (+.f64 b a) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (.f64 (.f64 (+.f64 b a) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) (.f64 (.f64 (.f64 (+.f64 b a) b) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (.f64 (.f64 (+.f64 b a) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (.f64 (+.f64 b a) b)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (.f64 (+.f64 b a) a)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (.f64 (+.f64 b a) b)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (.f64 (+.f64 b a) b)) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (.f64 (+.f64 b a) a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (.f64 (+.f64 b a) a))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (.f64 (+.f64 b a) b)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (.f64 (+.f64 b a) a))))))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a))) b)) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a))) a)) (neg.f64 b))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 (+.f64 b a) (+.f64 b a)))) (neg.f64 a))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a)))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (+.f64 b a)))) (neg.f64 (.f64 (.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))) (neg.f64 a))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a))))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a))) b) a)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a))) a) b)
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 (+.f64 b a) (+.f64 b a))) a)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a))) (*.f64 (neg.f64 b) a))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (+.f64 b a))) (.f64 (.f64 b a) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a))) (-.f64 b a))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a))) (-.f64 a b))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) a)
(/.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 b) a))
(/.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) #s(literal 1 binary64)) (.f64 (.f64 b a) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 b a) (+.f64 b a))) (neg.f64 (.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a)))) (*.f64 (neg.f64 b) a))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (+.f64 b a))) (*.f64 b a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 b a) (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (+.f64 b a))))))
(/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 (*.f64 b a) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b a) (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (+.f64 b a)))))
(fma.f64 (.f64 (+.f64 b a) b) (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (.f64 (.f64 (+.f64 b a) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (.f64 (+.f64 b a) b) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (*.f64 (+.f64 b a) a)))
(+.f64 (.f64 (.f64 (+.f64 b a) b) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (.f64 (.f64 (+.f64 b a) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (.f64 (+.f64 b a) b)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (.f64 (+.f64 b a) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 b) a)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
(pow.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b))) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 b a) #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 b) a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 b) a))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b a)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))

eval262.0ms (1.1%)

Memory: 12.0MiB live, 370.5MiB allocated
Compiler: Compiled 51 448 to 2 351 computations (95.4% saved)

prune118.0ms (0.5%)

Memory

-27.9MiB live, 305.0MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 170	3	1 173
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	1 171	6	1 177

Accuracy

100.0%

Counts

1 177 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
▶	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a)))))
✓	50.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))

Compiler

Compiled 61 to 38 computations (37.7% saved)

simplify106.0ms (0.4%)

Memory

31.2MiB live, 141.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 a (+.f64 b a))
cost-diff	0	(*.f64 b (/.f64 a (+.f64 b a)))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a))))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	0	(/.f64 #s(literal 1 binary64) b)
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
cost-diff	384	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
cost-diff	0	(+.f64 (/.f64 a b) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
cost-diff	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))
cost-diff	384	(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)

Rules

4 026×	`lower-fma.f64`
4 026×	`lower-fma.f32`
3 922×	`lower-*.f32`
3 920×	`lower-*.f64`
2 172×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	182
0	44	178
1	79	178
2	142	178
3	236	178
4	435	178
5	905	178
6	1817	178
7	4741	178
8	7054	178
0	8029	160

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))
#s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 a b)
a
b
#s(literal 1 binary64)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(/.f64 #s(literal 1 binary64) a)
a
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a))))
#s(literal 1 binary64)
(*.f64 b (/.f64 a (+.f64 b a)))
b
(/.f64 a (+.f64 b a))
a
(+.f64 b a)

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 b a) (*.f64 b a))))
#s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
#s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
(/.f64 (+.f64 b a) (*.f64 b a))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 (+.f64 b a) b)
(/.f64 a b)
a
b
#s(literal 1 binary64)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(/.f64 #s(literal 1 binary64) a)
a
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a))))
(/.f64 (+.f64 b a) (*.f64 b a))
#s(literal 1 binary64)
(*.f64 b (/.f64 a (+.f64 b a)))
(*.f64 (/.f64 a (+.f64 b a)) b)
b
(/.f64 a (+.f64 b a))
a
(+.f64 b a)

localize82.0ms (0.3%)

Memory

-23.1MiB live, 172.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a)))))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a))))
accuracy	0.03125	(/.f64 a (+.f64 b a))
accuracy	0.08984375	(*.f64 b (/.f64 a (+.f64 b a)))
accuracy	0	(/.f64 #s(literal 1 binary64) b)
accuracy	0	(/.f64 #s(literal 1 binary64) a)
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
accuracy	0.03515625	(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
accuracy	0	#s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
accuracy	0	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))
accuracy	0.00390625	(+.f64 (/.f64 a b) #s(literal 1 binary64))
accuracy	0.1328125	(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)

Samples

57.0ms

256×

valid

Compiler

Compiled 142 to 28 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 14.0ms (39.9% of total)

ival-mult: 10.0ms (28.5% of total)

ival-add: 7.0ms (19.9% of total)

ival-expm1: 4.0ms (11.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series29.0ms (0.1%)

Memory

18.8MiB live, 54.8MiB allocated

Counts

12 → 300

Calls

Call 1

Inputs
#s(alt (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) (patch (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) #<representation binary64>) () ())
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)) (patch #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 a b) #s(literal 1 binary64)) (patch (+.f64 (/.f64 a b) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) b) (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a)))) (patch (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a))))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a))))) #<representation binary64>) () ())
#s(alt (.f64 b (/.f64 a (+.f64 b a))) (patch (.f64 b (/.f64 a (+.f64 b a))) #<representation binary64>) () ())
#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) (patch (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) (patch (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) (patch (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) (patch (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)) (patch #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)) (patch #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)) (patch #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)) (patch #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor 0 b) (#s(alt (+.f64 (/.f64 a b) #s(literal 1 binary64)) (patch (+.f64 (/.f64 a b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a b) b) (taylor 0 b) (#s(alt (+.f64 (/.f64 a b) #s(literal 1 binary64)) (patch (+.f64 (/.f64 a b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a b) b) (taylor 0 b) (#s(alt (+.f64 (/.f64 a b) #s(literal 1 binary64)) (patch (+.f64 (/.f64 a b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a b) b) (taylor 0 b) (#s(alt (+.f64 (/.f64 a b) #s(literal 1 binary64)) (patch (+.f64 (/.f64 a b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) b) (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) b) (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) b) (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) b) (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a)))) (patch (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a)))) (patch (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a)))) (patch (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a)))) (patch (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a))))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a))))) #<representation binary64>) () ())) ())
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#s(alt (+ (/ 1 a) (/ 1 b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a)))) (patch (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a))))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a))))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a))))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (taylor -inf a) (#s(alt #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 a (+.f64 b a))))) (patch #s(approx (/ ( eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a))))) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf a) (#s(alt (.f64 b (/.f64 a (+.f64 b a))) (patch (.f64 b (/.f64 a (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 (/ (pow b 2) a))) (taylor -inf a) (#s(alt (.f64 b (/.f64 a (+.f64 b a))) (patch (.f64 b (/.f64 a (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (pow b 2)) a))) (taylor -inf a) (#s(alt (.f64 b (/.f64 a (+.f64 b a))) (patch (.f64 b (/.f64 a (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (pow b 3)) a)) (pow b 2)) a))) (taylor -inf a) (#s(alt (.f64 b (/.f64 a (+.f64 b a))) (patch (.f64 b (/.f64 a (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor -inf a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a))) (taylor -inf a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a))) (taylor -inf a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	((/ (+ (/ a b) 1) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ (/ a b) 1) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ 1 a) (/ 1 (* b (/ a (+ b a)))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* b (/ a (+ b a))) (/ a (+ b a)))
2.0ms	b	@	-inf	((/ (+ (/ a b) 1) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ (/ a b) 1) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ 1 a) (/ 1 (* b (/ a (+ b a)))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* b (/ a (+ b a))) (/ a (+ b a)))
2.0ms	a	@	inf	((/ (+ (/ a b) 1) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ (/ a b) 1) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ 1 a) (/ 1 (* b (/ a (+ b a)))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* b (/ a (+ b a))) (/ a (+ b a)))
2.0ms	b	@	inf	((/ (+ (/ a b) 1) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ (/ a b) 1) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ 1 a) (/ 1 (* b (/ a (+ b a)))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* b (/ a (+ b a))) (/ a (+ b a)))
1.0ms	a	@	0	((/ (+ (/ a b) 1) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ (/ a b) 1) (+ (/ 1 b) (/ 1 a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ 1 a) (/ 1 (* b (/ a (+ b a)))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* b (/ a (+ b a))) (/ a (+ b a)))

simplify175.0ms (0.7%)

Memory

-26.5MiB live, 268.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 350×	`lower-fma.f64`
8 350×	`lower-fma.f32`
5 488×	`lower-*.f64`
5 488×	`lower-*.f32`
4 508×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	6523
1	1052	6368
2	3150	6082
0	8416	5348

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 294

Calls

Call 1

Inputs
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ 1 b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ a b)
(/ (+ a b) b)
(/ (+ a b) b)
(/ (+ a b) b)
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ 1 b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ 1 b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
b
(* b (+ 1 (* -1 (/ b a))))
(* b (+ 1 (* b (- (/ b (pow a 2)) (/ 1 a)))))
(* b (+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a)))))
1
(+ 1 (* -1 (/ b a)))
(+ 1 (* b (- (/ b (pow a 2)) (/ 1 a))))
(+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
1
(+ 1 (/ a b))
(+ 1 (/ a b))
(+ 1 (/ a b))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
a
(+ a (* -1 (/ (pow a 2) b)))
(- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))
(- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)))
(/ a b)
(/ (+ a (* -1 (/ (pow a 2) b))) b)
(/ (- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)) b)
(/ (- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))) b)
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
1
(+ 1 (/ a b))
(+ 1 (/ a b))
(+ 1 (/ a b))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
a
(+ a (* -1 (/ (pow a 2) b)))
(+ a (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (pow a 2)) b)))
(+ a (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow a 4) b)) (pow a 3)) b)) (pow a 2)) b)))
(/ a b)
(* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (pow a 2)) b))) b))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
1
(+ 1 (/ a b))
(+ 1 (/ a b))
(+ 1 (/ a b))
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
a
(* a (+ 1 (* -1 (/ a b))))
(* a (+ 1 (* a (- (/ a (pow b 2)) (/ 1 b)))))
(* a (+ 1 (* a (- (* a (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b)))))
(/ a b)
(* a (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(* a (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(* a (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ a b)
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (/ 1 a) (/ 1 b)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
b
(+ b (* -1 (/ (pow b 2) a)))
(- (+ b (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))
(- (+ b (* -1 (/ (pow b 4) (pow a 3)))) (+ (* -1 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a)))
1
(+ 1 (* -1 (/ b a)))
(- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))
(- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ a b)
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (/ 1 a) (/ 1 b)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
b
(+ b (* -1 (/ (pow b 2) a)))
(+ b (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (pow b 2)) a)))
(+ b (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (pow b 3)) a)) (pow b 2)) a)))
1
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))

Outputs
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a))))) b #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))))))) b (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))))) b #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))))) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))))))) eps) #s(literal 1/2 binary64))))) b (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (.f64 eps a)))))))) b (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps a)))))) b #s(literal 1 binary64)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ a b)
(/.f64 a b)
(/ (+ a b) b)
(/.f64 (+.f64 a b) b)
(/ (+ a b) b)
(/.f64 (+.f64 a b) b)
(/ (+ a b) b)
(/.f64 (+.f64 a b) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
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(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps b))))) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))))))) a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b)))))) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b)))))) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))))))) eps) #s(literal 1/2 binary64))))) a (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (.f64 eps b)))))))) a (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps b)))))) a #s(literal 1 binary64)) a)
a
(* a (+ 1 (* -1 (/ a b))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(* a (+ 1 (* a (- (/ a (pow b 2)) (/ 1 b)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 a b) a (neg.f64 a)) b) a a)
(* a (+ 1 (* a (- (* a (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b)))))
(.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 a (.f64 (.f64 b b) b))) a (/.f64 #s(literal -1 binary64) b)) a #s(literal 1 binary64)) a)
(/ a b)
(/.f64 a b)
(* a (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) b)
(* a (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(.f64 (fma.f64 (-.f64 (/.f64 a (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) (.f64 b b))) a (/.f64 #s(literal 1 binary64) b)) a)
(* a (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) b)) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) a (/.f64 #s(literal -1 binary64) (.f64 b b))) a (/.f64 #s(literal 1 binary64) b)) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ a b)
(/.f64 a b)
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
b
(+ b (* -1 (/ (pow b 2) a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(- (+ b (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))
(*.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) b)
(- (+ b (* -1 (/ (pow b 4) (pow a 3)))) (+ (* -1 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a)))
(fma.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 a) a) a)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ b a)))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
(- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) b) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ a b)
(/.f64 a b)
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))
b
(+ b (* -1 (/ (pow b 2) a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+ b (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (pow b 2)) a)))
(*.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) b)
(+ b (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (pow b 3)) a)) (pow b 2)) a)))
(-.f64 b (/.f64 (fma.f64 b b (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) b (/.f64 (pow.f64 b #s(literal 4 binary64)) a)) a)) a))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ b a)))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) b) a))

rewrite190.0ms (0.8%)

Memory

12.8MiB live, 200.8MiB allocated

Rules

5 406×	`lower-/.f32`
5 394×	`lower-/.f64`
4 860×	`lower-*.f32`
4 858×	`lower-*.f64`
3 150×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	167
0	44	163
1	203	163
2	1721	163
0	8864	145

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

12 → 627

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))
#s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a)))))
(*.f64 b (/.f64 a (+.f64 b a)))
(/.f64 a (+.f64 b a))

Outputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 a a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) #s(literal 1 binary64))) a))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 a a) (*.f64 b b)) #s(literal 1 binary64)) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 (.f64 a a) (*.f64 b b)))) a))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) #s(literal 1 binary64)) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 (.f64 a a) (*.f64 b b)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(.f64 (pow.f64 (/.f64 a (-.f64 (/.f64 (.f64 a a) (*.f64 b b)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) #s(literal 1 binary64))))
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(*.f64 (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 a) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1/2 binary64))) (/.f64 (/.f64 a (+.f64 b a)) (pow.f64 b #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 b #s(literal -1/2 binary64))) (/.f64 a (pow.f64 b #s(literal -1/2 binary64))))
(*.f64 (/.f64 a (pow.f64 b #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 b #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64)) (/.f64 a (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) b)) a)
(*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64)))
(.f64 (/.f64 b (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(.f64 (/.f64 b (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))
(.f64 (/.f64 b (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 a (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 a) (+.f64 b a)))
(.f64 (/.f64 b (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 a (/.f64 #s(literal 1 binary64) (-.f64 b a))))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 b) (+.f64 b a)))
(.f64 (/.f64 a (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(.f64 (/.f64 a (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 b a))))
(.f64 (/.f64 a (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(.f64 (/.f64 a (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))
(.f64 (/.f64 (.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(.f64 (/.f64 (.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(.f64 (/.f64 (.f64 b a) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (fma.f64 b (-.f64 b a) (.f64 a a)))
(.f64 (/.f64 (.f64 b a) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (fma.f64 b b (.f64 a (-.f64 a b))))
(*.f64 (/.f64 b (+.f64 b a)) a)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 a (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 b (/.f64 #s(literal 1 binary64) a)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 a (+.f64 b a)) (/.f64 #s(literal -1 binary64) b)))
(.f64 (.f64 (/.f64 a (+.f64 b a)) b) #s(literal 1 binary64))
(*.f64 (/.f64 a (+.f64 b a)) b)
(.f64 (.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 a (+.f64 b a)) b))
(*.f64 b (/.f64 (/.f64 a (+.f64 b a)) #s(literal 1 binary64)))
(*.f64 b (/.f64 a (+.f64 b a)))
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) b)))
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) b)))
(.f64 a (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) b))
(*.f64 a (/.f64 b (+.f64 b a)))
(pow.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a (+.f64 b a)) b) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) a)) (neg.f64 (neg.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) (/.f64 a (+.f64 b a)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 a (+.f64 b a))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(/.f64 (.f64 (neg.f64 b) a) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 b a))))
(/.f64 (*.f64 (neg.f64 b) a) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 b) (neg.f64 (/.f64 (+.f64 b a) a)))
(/.f64 (neg.f64 a) (neg.f64 (/.f64 (+.f64 b a) b)))
(/.f64 (*.f64 (neg.f64 b) (/.f64 a (+.f64 b a))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b a) (*.f64 b a))))
(/.f64 (*.f64 (/.f64 a (+.f64 b a)) b) #s(literal 1 binary64))
(/.f64 (/.f64 a (+.f64 b a)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (.f64 b a) (.f64 #s(literal 1 binary64) (+.f64 b a)))
(/.f64 (*.f64 b a) (+.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 b (/.f64 (+.f64 b a) a))
(/.f64 a (/.f64 (+.f64 b a) b))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 b a))) (*.f64 (neg.f64 b) (/.f64 a (+.f64 b a))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 a (+.f64 b a)) b) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 (/.f64 a (+.f64 b a)) b)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 a (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 a (/.f64 #s(literal 1 binary64) (-.f64 b a))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))
(.f64 (/.f64 a (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(.f64 (/.f64 a (.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(.f64 (/.f64 a (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b a))))
(.f64 (/.f64 a (.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(.f64 (/.f64 a (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(.f64 (/.f64 a (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))
(.f64 (/.f64 a (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(.f64 (/.f64 a (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) a)
(*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b a)))
(*.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(pow.f64 (/.f64 (/.f64 (+.f64 b a) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b a) a) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (+.f64 b a))))
(/.f64 (neg.f64 a) (neg.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 b a) a) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b a) a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 b a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b a) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) a))
(/.f64 a (+.f64 b a))
(neg.f64 (/.f64 (neg.f64 a) (+.f64 b a)))
(neg.f64 (/.f64 a (neg.f64 (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 b a))) (/.f64 a (neg.f64 (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b a) a)) #s(literal -1 binary64)))

eval98.0ms (0.4%)

Memory: 5.7MiB live, 158.3MiB allocated
Compiler: Compiled 17 623 to 1 292 computations (92.7% saved)

prune70.0ms (0.3%)

Memory

8.0MiB live, 130.3MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	921	0	921
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	921	6	927

Accuracy

100.0%

Counts

927 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
✓	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a)))))
✓	50.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))

Compiler

Compiled 178 to 80 computations (55.1% saved)

regimes15.0ms (0.1%)

Memory

-14.9MiB live, 23.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (+.f64 b a)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 b a) b (.f64 (.f64 b a) a)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 b a) a) b)) (+.f64 b a) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))

Calls

4 calls:

6.0ms	b
3.0ms	eps
3.0ms	a
2.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`eps`
99.9%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes9.0ms (0%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))

Calls

4 calls:

2.0ms	eps
2.0ms	a
2.0ms	b
2.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`b`
99.8%	1	`eps`
99.8%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes10.0ms (0%)

Memory

-21.9MiB live, 16.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))

Outputs

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Calls

4 calls:

4.0ms	a
2.0ms	eps
2.0ms	b
1.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
87.3%	2	`a`
78.9%	2	`b`
69.7%	2	`eps`
58.9%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes5.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Calls

4 calls:

1.0ms	eps
1.0ms	a
1.0ms	b
1.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
48.4%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
48.4%	1	`eps`
48.4%	1	`b`
48.4%	1	`a`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch15.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-6.123382410803072e-167	-8.81371710757001e-169

Samples

9.0ms

112×

valid

Compiler

Compiled 142 to 103 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (47.4% of total)

ival-expm1: 2.0ms (31.6% of total)

ival-div: 1.0ms (15.8% of total)

ival-add: 1.0ms (15.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify6.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	160
1	39	160

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))
(if (<=.f64 a #s(literal -3983534946125753/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ b a) (* b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))
(if (<=.f64 a #s(literal -3983534946125753/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

soundness468.0ms (1.9%)

Memory

-13.2MiB live, 330.1MiB allocated

Rules

9 330×	`lower-fma.f64`
9 330×	`lower-fma.f32`
9 294×	`lower-fma.f64`
9 294×	`lower-fma.f32`
7 346×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	7159
1	997	6779
2	3204	6588
0	8364	5811
0	38	238
0	57	220
1	277	212
2	2871	212
0	9541	192
0	336	2612
1	1079	2564
2	3409	2564
0	8490	2144

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 88 to 49 computations (44.3% saved)

preprocess55.0ms (0.2%)

Memory: 27.1MiB live, 106.8MiB allocated
Remove: (sort a b)
Compiler: Compiled 190 to 102 computations (46.3% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze209.0ms (0.8%)

sample19.7s (79.7%)

explain283.0ms (1.1%)

preprocess179.0ms (0.7%)

eval0.0ms (0%)

prune5.0ms (0%)

simplify165.0ms (0.7%)

localize44.0ms (0.2%)

series69.0ms (0.3%)

simplify212.0ms (0.9%)

rewrite254.0ms (1%)

eval105.0ms (0.4%)

prune143.0ms (0.6%)

simplify375.0ms (1.5%)

localize586.0ms (2.4%)

series210.0ms (0.9%)

simplify263.0ms (1.1%)

rewrite192.0ms (0.8%)

eval262.0ms (1.1%)

prune118.0ms (0.5%)

simplify106.0ms (0.4%)

localize82.0ms (0.3%)

series29.0ms (0.1%)

simplify175.0ms (0.7%)

rewrite190.0ms (0.8%)

eval98.0ms (0.4%)

prune70.0ms (0.3%)

regimes15.0ms (0.1%)

regimes9.0ms (0%)

regimes10.0ms (0%)

regimes5.0ms (0%)

bsearch15.0ms (0.1%)

simplify6.0ms (0%)

soundness468.0ms (1.9%)

preprocess55.0ms (0.2%)

end0.0ms (0%)

Profiling